Question

Light waves with two different wavelengths, 632 nm and 474 nm,
pass simultaneously through a single slit whose width is 4.58 x
10-5 m and strike a screen 1.80 m from the slit. Two diffraction
patterns are formed on the screen. What is the distance (in
cm) between the common center of the diffraction patterns
and the first occurrence of the spot where a dark fringe from one
pattern falls on top of a dark fringe from the other pattern?